{"id":30899,"date":"2023-10-10T10:01:45","date_gmt":"2023-10-10T08:01:45","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=30899"},"modified":"2023-10-12T14:19:08","modified_gmt":"2023-10-12T12:19:08","slug":"semaine-6-du-09-10","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2324\/semaine-6-du-09-10.html","title":{"rendered":"Semaine 6 du 09\/10"},"content":{"rendered":"
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Programme de colles de la semaine du 16\/10: 06_prog_series<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n

\n

Chapitre IV (suite) : <\/strong>
\nTh\u00e9or\u00e8me de d\u00e9rivation de la limite pour uen suite de fonctions de classe C^1 qui converge simplement et dont la suite des d\u00e9riv\u00e9es converge uniform\u00e9ment (sur tout segment).
\n2. S\u00e9ries de fonctions
\nNotion de convergence simple, notion de convergence uniforme. Exemples.
\n<\/span><\/p>\n

exercice(s) : 14
\n<\/span><\/p>\n

\n

Convergence normale d’une s\u00e9rie de fonctions, lien avec les autres types de convergence.
\n<\/span><\/p>\n

exercice(s) : 12<\/span><\/p>\n

\n

Th\u00e9or\u00e8me de continuit\u00e9 de la somme. D\u00e9rivation terme \u00e0 terme de la somme d’une s\u00e9rie de fonctions
\n<\/span><\/p>\n

exercice(s) : 10
\n<\/em><\/span><\/p>\n

\n

.Int\u00e9gration terme \u00e0 terme sur un segment. D\u00e9rivations successives terme \u00e0 terme.
\nexercice(s) :15, 13, 17
\n<\/span><\/span><\/p>\n<\/div>\n

\n

Document de cours : ch04_Cours_Suit_Ser_Fonc_2023<\/a>
\nDocuments distribu\u00e9s :<\/span><\/big><\/b><\/big><\/b><\/p>\n

TD : ch04_TD_Suit_Ser_Fonc_2023<\/a><\/span><\/big><\/b><\/p>\n

Devoirs : dm04_AL<\/a><\/strong><\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine du 16\/10: 06_prog_series Chapitre IV (suite) : Th\u00e9or\u00e8me de d\u00e9rivation de la limite pour uen suite de fonctions de classe C^1 qui converge simplement et dont la suite des d\u00e9riv\u00e9es converge uniform\u00e9ment (sur tout…<\/p>\n

Read more →<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[362],"tags":[],"class_list":["post-30899","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2324"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/30899","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=30899"}],"version-history":[{"count":3,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/30899\/revisions"}],"predecessor-version":[{"id":30937,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/30899\/revisions\/30937"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=30899"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=30899"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=30899"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}